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Simplifying -4x + 12 = 4(x + 1) Reorder the terms: 12 + -4x = 4(x + 1) Reorder the terms: 12 + -4x = 4(1 + x) 12 + -4x = (1 * 4 + x * 4) 12 + -4x = (4 + 4x) Solving 12 + -4x = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -4x + -4x = 4 + 4x + -4x Combine like terms: -4x + -4x = -8x 12 + -8x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -8x = 4 + 0 12 + -8x = 4 Add '-12' to each side of the equation. 12 + -12 + -8x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = 4 + -12 -8x = 4 + -12 Combine like terms: 4 + -12 = -8 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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